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Finding the Fourth Proportional to 643,349.73, 965,032.81 and 170,031

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Solution

The fourth proportional to 643,349.73, 965,032.81 and 170,031 is: 255,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,349.73 : 965,032.81 = 170,031 : x
  2. Step 2: Convert to fraction form
    643,349.73/965,032.81 = 170,031/x
  3. Step 3: Cross multiply
    643,349.73x = 965,032.81 × 170,031
  4. Step 4: Simplify right side
    643,349.73x = 164,085,493,717.11
  5. Step 5: Solve for x
    x = 164,085,493,717.11/643,349.73
  6. Step 6: Final answer
    x = 255,048.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.